Photonic cluster states are a powerful resource for measurement-based quantum computing and loss-tolerant quantum communication. Proposals to generate multi-dimensional lattice cluster states have identified coupled spin-photon interfaces, spin-ancilla systems, and optical feedback mechanisms as potential schemes. Following these, we propose the generation of multi-dimensional lattice cluster states using a single, efficient spin-photon interface coupled strongly to a nuclear register. Our scheme makes use of the contact hyperfine interaction to enable universal quantum gates between the interface spin and a local nuclear register and funnels the resulting entanglement to photons via the spin-photon interface. Among several quantum emitters, we identify the silicon-29 vacancy centre in diamond, coupled to a nanophotonic structure, as possessing the right combination of optical quality and spin coherence for this scheme. We show numerically that using this system a 2×5-sized cluster state with a lower-bound fidelity of 0.5 and repetition rate of 65 kHz is achievable under currently realised experimental performances and with feasible technical overhead. Realistic gate improvements put 100-photon cluster states within experimental reach.

中文翻译：

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使用与固有核寄存器强耦合的单个自旋光子界面的多维簇状态

光子簇状态是基于测量的量子计算和容错量子通信的强大资源。产生多维晶格簇状态的提议已将耦合自旋光子界面、自旋辅助系统和光学反馈机制确定为潜在方案。在这些之后，我们建议使用与核寄存器强耦合的单个有效自旋光子界面来生成多维晶格簇状态。我们的方案利用接触超精细相互作用来实现界面自旋和局部核寄存器之间的通用量子门，并通过自旋光子界面将产生的纠缠聚集到光子上。在几个量子发射器中，我们确定了金刚石中的硅 29 空位中心，与纳米光子结构耦合，因为该方案具有光学质量和自旋相干性的正确组合。我们从数值上表明，在目前实现的实验性能和可行的技术开销下，使用该系统可以实现下限保真度为 0.5 和重复率为 65 kHz 的 2×5 大小的集群状态。现实的门改进将 100 光子簇状态置于实验范围内。